What is (1+i)/(2-3i) ?

The solution to (1+i)/(2-3i) is -1/13+5/13 i

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simplify (1+i)/(2-3i)

simplify

\frac{1 + i}{2 - 3 i}

- \frac{1}{13} + \frac{5}{13} i

Solution steps

\frac{1 + i}{2 - 3 i}

Multiply by the conjugate

\frac{2 + 3 i}{2 + 3 i}

= \frac{( 1 + i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{( 1 + i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{- 1 + 5 i}{13}

= \frac{- 1 + 5 i}{13}

Rewrite in standard complex form:

- \frac{1}{13} + \frac{5}{13} i

= - \frac{1}{13} + \frac{5}{13} i

Γ (\frac{9}{2})

\frac{5}{3} \times 2

3 \times 12

+ b^{2} - 6 b + 9